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Complete controllability of finite-level quantum systems

Fu, H.; Schirmer, S. G. and Solomon, A. I. (2001). Complete controllability of finite-level quantum systems. Journal of Physics A: Mathematical and General, 34(8) pp. 1679–1690.

URL: http://www.iop.org/EJ/abstract/0305-4470/34/8/313
DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1088/0305-4470/34/8/313
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Abstract

Complete controllability is a fundamental issue in the field of control of quantum systems, not least because of its implications for dynamical realizability of the kinematical bounds on the optimization of observables. In this paper we investigate the question of complete controllability for finite-level quantum systems subject to a single control field, for which the interaction is of dipole form. Sufficient criteria for complete controllability of a wide range of finite-level quantum systems are established and the question of limits of complete controllability is addressed. Finally, the results are applied to give a classification of complete controllability for four-level systems.



Item Type: Journal Article
Copyright Holders: 2001 IOP Publishing Ltd
ISSN: 0305-4470
Keywords: quantum control; finite systems
Academic Unit/Department: Science > Physical Sciences
Item ID: 8149
Depositing User: Allan Solomon
Date Deposited: 21 Jun 2007
Last Modified: 09 Jun 2014 10:43
URI: http://oro.open.ac.uk/id/eprint/8149
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